fix(release): skip lock file update if yarn classic

[fahslaj]

Current Behavior

nx release will try to update the yarn classic lock file with yarn install.

Expected Behavior

nx release will skip the update lock file step and not perform yarn install for yarn classic.

Fixes #21464

[vercel]

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Name	Status	Preview	Updated (UTC)
nx-dev	✅ Ready (Inspect)	Visit Preview	Feb 1, 2024 5:24pm

[nx-cloud]

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✅ Successfully ran 6 targets

• nx affected --target=e2e --base=65ba819019771d41ed88b568f171bc1f5bb8346f --head=254d0a3c615f07a4ee631ddf21d9ea2234d84f51 --parallel=1
• nx affected --targets=lint,test,build --base=65ba819019771d41ed88b568f171bc1f5bb8346f --head=254d0a3c615f07a4ee631ddf21d9ea2234d84f51 --parallel=3
• nx run-many -t check-imports check-commit check-lock-files check-codeowners documentation --parallel=1 --no-dte
• nx-cloud record -- nx format:check --base=65ba819019771d41ed88b568f171bc1f5bb8346f --head=254d0a3c615f07a4ee631ddf21d9ea2234d84f51
• nx documentation --no-dte
• nx affected -t e2e-macos --parallel=1 --base=65ba819019771d41ed88b568f171bc1f5bb8346f --head=254d0a3c615f07a4ee631ddf21d9ea2234d84f51

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[github-actions]

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